Search a number
-
+
3903284 = 22711192329
BaseRepresentation
bin1110111000111100110100
321100022022002
432320330310
51444401114
6215354432
745114560
oct16707464
97308262
103903284
112226660
121382a18
13a68848
147386a0
155217de
hex3b8f34

3903284 has 96 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 1330560.

The previous prime is 3903281. The next prime is 3903293. The reversal of 3903284 is 4823093.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3903281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134582 + ... + 134610.

It is an arithmetic number, because the mean of its divisors is an integer number (100800).

Almost surely, 23903284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3903284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400).

3903284 is an abundant number, since it is smaller than the sum of its proper divisors (5773516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3903284 is a wasteful number, since it uses less digits than its factorization.

3903284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 3903284 is about 1975.6730498744. The cubic root of 3903284 is about 157.4502606017.

The spelling of 3903284 in words is "three million, nine hundred three thousand, two hundred eighty-four".

Divisors: 1 2 4 7 11 14 19 22 23 28 29 38 44 46 58 76 77 92 116 133 154 161 203 209 253 266 308 319 322 406 418 437 506 532 551 638 644 667 812 836 874 1012 1102 1276 1334 1463 1748 1771 2204 2233 2668 2926 3059 3542 3857 4466 4669 4807 5852 6061 6118 7084 7337 7714 8932 9338 9614 12122 12236 12673 14674 15428 18676 19228 24244 25346 29348 33649 42427 50692 51359 67298 84854 88711 102718 134596 139403 169708 177422 205436 278806 354844 557612 975821 1951642 3903284